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Finding the Fourth Proportional to 98,392.98, 135,781.62 and 55,951.50

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Solution

The fourth proportional to 98,392.98, 135,781.62 and 55,951.50 is: 77,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,392.98 : 135,781.62 = 55,951.50 : x
  2. Step 2: Convert to fraction form
    98,392.98/135,781.62 = 55,951.50/x
  3. Step 3: Cross multiply
    98,392.98x = 135,781.62 × 55,951.50
  4. Step 4: Simplify right side
    98,392.98x = 7,597,185,311.43
  5. Step 5: Solve for x
    x = 7,597,185,311.43/98,392.98
  6. Step 6: Final answer
    x = 77,212.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.